Title of article :
A GLM-Based Method to Estimate a Copula s Parameter(s)
Author/Authors :
Payandeh Najafabadi, Amir T. shahid beheshti university - Mathematical Sciences Department, تهران, ايران , Farid-Rohani, Mohammad R. shahid beheshti university - Mathematical Sciences Department, تهران, ايران , Qazvini, Marjan allameh tabataba-i university - E C O College of Insurance, تهران, ايران
Abstract :
This study introduces a new approach to problem of estimating parameter(s) of a given copula. More precisely, using the concept of the generalized linear models (GLM) accompanied with least square method, we introduce an estimation method, say GLM-method. A simulation study has been conducted to provide a comparison among the inversion of Kendal’s tau, the inversion of Spearman’s rho, the PML, the Copula-quantile regression with (q = 0:25; 0:50; 0:75), and the GLMmethod. Such simulation study shows that the GLM-method is an appropriate method whenever the data distributed according to an elliptical distribution.
Keywords :
Copula , copula , quantile regression , GLM , parameter estimation
Journal title :
Journal of the Iranian Statistical Society (JIRSS)
Journal title :
Journal of the Iranian Statistical Society (JIRSS)